That subsection of 230 is about protecting you from being sued for moderating, like being sued by the people who posted the content you took down.
The "my moderation makes me liable for everything I don't moderate" problem, that's what's addressed by the preceding section, the core of the law and the part that's most often at issue, which says that you can't be treated as publisher/speaker of anyone else's content.
The "my moderation makes me liable for everything I don't moderate" problem, that's what's addressed by the preceding section, the core of the law and the part that's most often at issue, which says that you can't be treated as publisher/speaker of anyone else's content.